Finite Group Databasebeta

← #8434325

Subgroups — #8434325

Order 512.

4504 conjugacy classes of subgroups.

The subgroup lattice has 2087 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59198C211yesmaximal, characteristic, complemented
2#59198C212yesmaximal, complemented
3#55792C211yesmaximal, characteristic, complemented
4#55768C212yesmaximal, complemented
5#53890C212yesmaximal, complemented
6#53785C212yesmaximal, complemented
7#53752C212yesmaximal, complemented
8#53642C211yesmaximal, characteristic, complemented
9#53464C212yesmaximal, complemented
10#52800C212yesmaximal, complemented
11#52528C212yesmaximal, complemented
12#50750C212yesmaximal, complemented
13#50719C211yesmaximal, characteristic, complemented
14#50662C211yesmaximal, characteristic, complemented
15#46041C212yesmaximal, complemented
16#45581C212yesmaximal, complemented
17#44462C212yesmaximal, complemented
18#43127C212yesmaximal, complemented
19#42159C212yesmaximal, complemented
20#41395C212yesmaximal, complemented
21#40890C212yesmaximal, complemented
22#40621C212yesmaximal, complemented
23#39279C212yesmaximal, complemented
24#38401C212yesmaximal, complemented
25#38175C212yesmaximal, complemented
26#37877C212yesmaximal, complemented
27#37861C212yesmaximal, complemented
28#37861C212yesmaximal, complemented
29#37486C211yesmaximal, characteristic, complemented
30#37000C212yesmaximal, complemented
31#36752C212yesmaximal, complemented
32#36607C211yesmaximal, characteristic
33#36183C212yesmaximal, complemented
34#34999C212yesmaximal, complemented
35C2×#2569C212yesmaximal, complemented
36C2×#551C2211yescharacteristic
37C2×#551C2212yes—
38C2×#551C2212yes—
39C2×#551C2211yescharacteristic
40#2857C2212yes—
41#2855C2212yes—
42#2854C2212yes—
43#2853C2212yes—
44#2852C2212yes—
45#2851C2212yes—
46#2847C2212yes—
47#2847C2211yescharacteristic
48#2843C2212yescomplemented
49#2841C2212yescomplemented
50#2839C2212yescomplemented
51#2839C2212yescomplemented
52#2839C2212yescomplemented
53#2838C2212yescomplemented
54#2836C2212yescomplemented
55#2836C2212yescomplemented
56#2836C2212yescomplemented
57#2835C2211yescharacteristic
58#2834C2211yescharacteristic
59#2833C2212yescomplemented
60#2832C2211yescharacteristic, complemented
61#2831C2212yescomplemented
62#2831C2212yescomplemented
63#2827C2212yes—
64#2827C2212yescomplemented
65#2817C2211yescharacteristic, complemented
66#2810C2212yescomplemented
67#2807C2212yescomplemented
68#2805C2212yescomplemented
69#2805C2212yescomplemented
70#2802C2212yescomplemented
71#2802C2212yescomplemented
72#2802C2212yescomplemented
73#2802C2212yescomplemented
74#2800C2212yescomplemented
75#2798C2212yescomplemented
76#2797C2212yescomplemented
77#2793C2212yescomplemented
78#2793C2212yescomplemented
79#2793C2212yescomplemented
80#2792C2212yescomplemented
81#2792C2212yescomplemented
82#2792C2212yescomplemented
83#2791C2212yescomplemented
84#2791C2212yescomplemented
85#2791C2212yescomplemented
86#2791C2212yescomplemented
87#2791C2212yescomplemented
88#2791C2212yescomplemented
89#2791C2212yescomplemented
90#2791C2212yescomplemented
91#2791C2212yescomplemented
92#2791C2212yescomplemented
93#2790C2212yescomplemented
94#2790C2212yescomplemented
95#2789C2212yescomplemented
96#2788C2212yescomplemented
97#2787C2212yescomplemented
98#2786C2212yescomplemented
99#2786C2212yescomplemented
100#2786C2212yescomplemented
101#2783C2212yescomplemented
102#2783C2212yescomplemented
103#2777C2212yescomplemented
104#2777C2212yescomplemented
105#2776C2212yescomplemented
106#2776C2212yescomplemented
107#2776C2212yescomplemented
108#2774C2212yescomplemented
109#2774C2212yescomplemented
110#2773C2212yescomplemented
111#2771C2211yescharacteristic, complemented
112#2769C2212yescomplemented
113#2768C2212yescomplemented
114#2755C2212yescomplemented
115#2755C2212yescomplemented
116#2755C2212yescomplemented
117#2755C2212yescomplemented
118#2752C2211yescharacteristic, complemented
119#2750C2212yescomplemented
120#2748C2212yescomplemented
121#2747C2212yescomplemented
122#2744C2212yescomplemented
123#2744C2212yescomplemented
124#2743C2212yescomplemented
125#2741C2212yescomplemented
126#2740C2212yescomplemented
127#2740C2212yescomplemented
128#2740C2212yescomplemented
129#2739C2212yescomplemented
130#2739C2212yescomplemented
131#2738C2212yescomplemented
132#2734C2211yescharacteristic, complemented
133#2734C2212yescomplemented
134#2729C2212yescomplemented
135#2728C2211yescharacteristic, complemented
136#2722C2212yes—
137#2722C2212yes—
138#2722C2212yes—
139#2722C2212yes—
140#2722C2212yes—
141#2722C2212yes—
142#2722C2212yes—
143#2721C2212yescomplemented
144#2720C2212yescomplemented
145#2717C2212yes—
146#2717C2212yes—
147#2717C2211yescharacteristic
148#2717C2211yescharacteristic
149#2715C2212yes—
150#2715C2212yes—
151#2715C2212yes—
152#2715C2212yes—
153#2713C2212yescomplemented
154#2713C2212yescomplemented
155#2695C2212yes—
156#2695C2212yes—
157#2695C2212yes—
158#2695C2212yes—
159#2692C2212yescomplemented
160#2690C2212yescomplemented
161#2689C2212yescomplemented
162#2677C2212yescomplemented
163#2672C2212yes—
164#2672C2212yes—
165#2672C2212yes—
166#2672C2212yes—
167#2667C2212yescomplemented
168#2667C2211yescharacteristic, complemented
169#2666C2212yescomplemented
170#2660C2211yescharacteristic, complemented
171#2659C2212yes—
172#2659C2212yes—
173#2655C2212yescomplemented
174#2654C2212yescomplemented
175#2654C2212yescomplemented
176#2654C2212yescomplemented
177#2653C2212yes—
178#2652C2212yes—
179#2652C2212yes—
180#2652C2212yes—
181#2652C2212yescomplemented
182#2652C2212yescomplemented
183#2649C2212yes—
184#2646C2212yes—
185#2643C2212yes—
186#2638C2211yescharacteristic
187#2633C2211yescharacteristic
188#2627C2212yes—
189#2627C2212yescomplemented
190#2623C2212yes—
191#2618C2212yes—
192#2618C2212yes—
193#2606C2211yescharacteristic, complemented
194#2606C2212yescomplemented
195#2600C2211yescharacteristic, complemented
196#2594C2212yescomplemented
197#2594C2212yescomplemented
198#2590C2212yescomplemented
199#2590C2212yescomplemented
200#2590C2212yescomplemented
201#2590C2212yescomplemented
202#2588C2212yescomplemented
203#2588C2212yescomplemented
204#2586C2212yescomplemented
205#2586C2211yescharacteristic, complemented
206#2585C2212yescomplemented
207#2585C2212yescomplemented
208#2579C2212yescomplemented
209#2577C2212yescomplemented
210#2573C2212yescomplemented
211#2569C2212yes—
212#2569C2212yes—
213#2569C2212yes—
214#2569C2212yes—
215#2569C2212yes—
216#2569C2212yes—
217#2569C2212yes—
218#2569C2212yes—
219#2569C2212yes—
220#2569C2212yes—
221#2569C2212yes—
222#2569C2212yes—
223#2569C2212yes—
224#2569C2212yes—
225#2569C2212yes—
226#2569C2212yes—
227#2569C2212yes—
228#2569C2211yescharacteristic
229#2564C2212yes—
230#2564C2212yes—
231#2553C2212yes—
232#2553C2212yes—
233#2547C2211yescharacteristic
234#2547C2212yes—
235#2543C2212yes—
236#2543C2211yescharacteristic
237#2523C2212yes—
238#2522C2212yescomplemented
239#2522C2212yescomplemented
240#2522C2212yescomplemented
241#2521C2212yes—
242#2521C2212yes—
243#2517C2212yes—
244#2510C2212yes—
245#2510C2212yes—
246#2510C2212yes—
247#2505C2212yes—
248#2502C2211yescharacteristic, complemented
249#2501C2212yes—
250#2498C2212yes—
251#2498C2212yes—
252#2498C2212yes—
253#2498C2212yes—
254#2498C2212yes—
255#2498C2212yes—
256#2496C2212yes—
257#2496C2212yes—
258#2496C2212yes—
259#2496C2212yes—
260#2496C2212yes—
261#2493C2212yes—
262#2493C2212yes—
263#2493C2212yes—
264#2491C2212yes—
265#2488C2212yes—
266#2488C2212yes—
267#2488C2212yes—
268#2486C2212yes—
269#2486C2212yes—
270#2486C2212yes—
271#2486C2212yes—
272#2486C2211yescharacteristic
273#2483C2211yescharacteristic
274#2483C2212yes—
275#2481C2212yes—
276#2481C2212yescomplemented
277#2473C2212yes—
278#2473C2212yes—
279#2466C2212yes—
280#2466C2212yescomplemented
281#2460C2212yes—
282#2450C2212yes—
283#2449C2212yes—
284#2449C2212yes—
285#2449C2212yes—
286#2449C2212yes—
287#2449C2212yes—
288#2449C2212yescomplemented
289#2444C2212yes—
290#2444C2212yes—
291#2444C2212yes—
292#2440C2212yes—
293#2440C2212yes—
294#2440C2212yes—
295#2440C2212yes—
296#2440C2212yescomplemented
297#2438C2212yes—
298#2438C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2438C2212yes—
302#2438C2212yes—
303#2438C2212yes—
304#2438C2212yes—
305#2438C2212yes—
306#2438C2212yes—
307#2437C2211yescharacteristic
308#2425C2212yes—
309#2425C2212yes—
310#2425C2212yes—
311#2425C2212yes—
312#2422C2212yes—
313#2419C2212yes—
314#2419C2212yes—
315#2419C2212yes—
316#2419C2212yes—
317#2419C2212yes—
318#2419C2212yes—
319#2419C2212yes—
320#2419C2212yes—
321#2417C2212yes—
322#2417C2212yes—
323#2417C2212yes—
324#2417C2212yes—
325#2413C2212yes—
326#2413C2212yes—
327#2413C2212yes—
328#2413C2212yes—
329#2412C2212yes—
330#2412C2212yes—
331#2412C2212yes—
332C2×#400C2212yes—
333C2×#400C2212yes—
334C2×#398C2212yes—
335C2×#398C2212yes—
336#2381C2211yescharacteristic, complemented
337#2378C2211yescharacteristic, complemented
338#2378C2212yescomplemented
339#2364C2211yescharacteristic
340#2364C2212yes—
341#2361C2212yes—
342#2359C2212yes—
343#2359C2212yes—
344#2353C2211yescharacteristic
345#2353C2212yes—
346D4×C4⋊C4C2212yes—
347D4×C4⋊C4C2212yes—
348D4×C4⋊C4C2212yes—
349#2344C2212yes—
350#2344C2212yes—
351#2344C2212yes—
352#2344C2212yes—
353#2336C2211yescharacteristic, complemented
354#2332C2212yescomplemented
355#2329C2212yes—
356#2325C2212yes—
357#2325C2212yes—
358#2322C2212yes—
359#2318C2212yes—
360#2316C2212yes—
361#2316C2212yes—
362#2313C2212yes—
363#2313C2211yescharacteristic, complemented
364C4×#121C2212yes—
365C4×#120C2211yescharacteristic
366C4×#120C2212yes—
367C2×#387C2212yes—
368C2×#387C2212yes—
369C2×#387C2212yes—
370C2×#387C2212yes—
371C2×#385C2212yes—
372C2×#385C2212yes—
373#2285C2212yes—
374C2×#380C2212yes—
375C2×#380C2212yes—
376C2×#380C2212yes—
377C2×C4×C22⋊C4C2212yes—
378C22×#95C2211yescharacteristic
379C24×C4C2312yes—
380C24×C4C2311yescharacteristic
381#551—44no—
382#551—48no—
383#551—48no—
384#551—44no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2311yescharacteristic
399C2×#124C2312yes—
400C2×#124C2311yescharacteristic
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2311yescharacteristic
412C2×#123C2312yes—
413C2×#123C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#120C2311yescharacteristic
432C2×#120C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C42C2312yes—
468C22×C42C2312yes—
469#401C2312yes—
470#401C2312yes—
471#401C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2311yescharacteristic
526#399C2312yes—
527#399C2312yes—
528#399C2311yescharacteristic
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2311yescharacteristic
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2311yescharacteristic
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#397C2312yes—
603#397C2311yescharacteristic
604#397C2311yescharacteristic
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2311yescharacteristic
620#397C2312yes—
621#397C2311yescharacteristic
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2311yescharacteristic
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2311yescharacteristic
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2311yescharacteristic
694#392C2311yescharacteristic
695#391C2312yes—
696#391C2312yes—
697#391C2311yescharacteristic
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2311yescharacteristic
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2311yescharacteristic
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#384C2312yes—
977#384C2312yes—
978#384C2312yes—
979#384C2312yes—
980#384C2312yes—
981#384C2312yes—
982#383C2312yes—
983#383C2312yes—
984#383C2312yes—
985#383C2311yescharacteristic
986#383C2311yescharacteristic
987#382C2312yes—
988#382C2312yes—
989#382C2312yes—
990#382C2312yes—
991#381C2311yescharacteristic
992#381C2312yes—
993#381C2312yes—
994#381C2311yescharacteristic
995#381C2311yescharacteristic
996#381C2311yescharacteristic
997#381C2312yes—
998#381C2312yes—
999#381C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
1005#381C2312yes—
1006#381C2312yes—
1007#381C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#379C2311yescharacteristic
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2311yescharacteristic
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2312yes—
1082#376C2311yescharacteristic
1083C2×#95C2312yes—
1084C2×#95C2311yescharacteristic
1085C2×#95C2311yescharacteristic
1086C2×#95C2312yes—
1087C2×#95C2312yes—
1088C2×#95C2312yes—
1089C2×#95C2312yes—
1090C2×#95C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C25C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C23×C4—28no—
1116C23×C4—42no—
1117C23×C4—44no—
1118C23×C4—44no—
1119C23×C4—82no—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C4⋊Q8—42no—
1145C4⋊Q8—82no—
1146C4⋊Q8—82no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—82no—
1154#125—42no—
1155#125—82no—
1156#124—44no—
1157#124—42no—
1158#124—44no—
1159#124—42no—
1160#123—42no—
1161#123—44no—
1162#123—44no—
1163#123—42no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—42no—
1183C22⋊Q8—82no—
1184C22⋊Q8—82no—
1185#121—28no—
1186#121—42no—
1187#121—44no—
1188#121—44no—
1189#121—82no—
1190#120—24no—
1191#120—28no—
1192C4×D4—28no—
1193C4×D4—42no—
1194C4×D4—44no—
1195C4×D4—44no—
1196C4×D4—44no—
1197C4×D4—44no—
1198C4×D4—44no—
1199C4×D4—44no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—82no—
1203C4×D4—82no—
1204#117—44no—
1205#117—44no—
1206#117—44no—
1207#117—44no—
1208#117—44no—
1209#117—44no—
1210C2×C4⋊C4—28no—
1211C2×C4⋊C4—28no—
1212C2×C4⋊C4—42no—
1213C2×C4⋊C4—44no—
1214C2×C4⋊C4—44no—
1215C2×C4⋊C4—44no—
1216C2×C4⋊C4—44no—
1217C2×C4⋊C4—44no—
1218C2×C4⋊C4—82no—
1219C2×C4⋊C4—82no—
1220C2×C4⋊C4—82no—
1221C2×C4⋊C4—82no—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C22⋊C4—28no—
1321C2×C22⋊C4—28no—
1322C2×C22⋊C4—28no—
1323C2×C22⋊C4—44no—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2411yescharacteristic
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2411yescharacteristic
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2411yescharacteristic
1362C2×C22⋊C4C2411yescharacteristic
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2411yescharacteristic
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C42—44no—
1386C2×C42—82no—
1387C2×C42C2411yescharacteristic
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410#95C2411yescharacteristic
1411#95C2411yescharacteristic
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2411yescharacteristic
1417#95C2412yes—
1418#95C2412yes—
1419#95C2411yescharacteristic
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2411yescharacteristic
1470#95C2412yes—
1471#95C2411yescharacteristic
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2411yescharacteristic
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2411yescharacteristic
1522#95C2412yes—
1523#95C2411yescharacteristic
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2411yescharacteristic
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534C24—24no—
1535C24—24no—
1536C24—41no—
1537C24—41no—
1538C24H(5,𝔽2)14yes—
1539C24C2512yes—
1540C24C2511yescharacteristic
1541C24C2511yescharacteristic
1542C24C2512yes—
1543C2×Q8—42no—
1544C2×Q8—41no—
1545C2×Q8—42no—
1546C2×Q8—41no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—42no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—22no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—41no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—41no—
1575C2×D4—41no—
1576C2×D4—42no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—24no—
1582C22×C4—24no—
1583C22×C4—24no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—22no—
1603C22×C4—22no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—41no—
1638C22×C4—42no—
1639C22×C4—41no—
1640C22×C4—42no—
1641C22×C4—41no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—41no—
1645C22×C4—816no—
1646C22×C4—88no—
1647C22×C42−1+418yes—
1648C22×C4C2512yes—
1649C22×C4C2511yescharacteristic
1650C22×C4C2512yes—
1651C22×C4C2511yescharacteristic
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2511yescharacteristic
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2511yescharacteristic
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2511yescharacteristic
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—41no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
1771C4⋊C4—41no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—22no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—41no—
1805C22⋊C4—41no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—41no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—41no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—41no—
1838C42—24no—
1839C42—22no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—41no—
1849C42—42no—
1850C42—42no—
1851C42—41no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—21no—
1868C23—21no—
1869C23—216no—
1870C23—22no—
1871C23—21no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—21no—
1880C23—22no—
1881C23—21no—
1882C23—44no—
1883C23—44no—
1884C23—48no—
1885C23—44no—
1886C23C2×H(5,𝔽2)12yes—
1887C23C2×H(5,𝔽2)14yes—
1888C23C2×2−1+414yes—
1889C23#58514yes—
1890C23C2611yescharacteristic
1891Q8—161no—
1892Q8—162no—
1893Q8—161no—
1894Q8—162no—
1895Q8—161no—
1896D4—48no—
1897D4—48no—
1898D4—48no—
1899D4—84no—
1900D4—82no—
1901D4—84no—
1902D4—161no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—21no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—48no—
1990C2×C4—48no—
1991C2×C4—48no—
1992C2×C4—48no—
1993C2×C4—48no—
1994C2×C4—48no—
1995C2×C4—48no—
1996C2×C4—82no—
1997C2×C4—84no—
1998C2×C4—82no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—84no—
2002C2×C4—84no—
2003C2×C4—84no—
2004C2×C4—84no—
2005C2×C4—84no—
2006C2×C4—84no—
2007C2×C4—84no—
2008C2×C4—82no—
2009C2×C4—161no—
2010C2×C4—162no—
2011C2×C4—161no—
2012C2×C4—162no—
2013C2×C4C2×2−1+414yes—
2014C2×C4C2×2−1+414yes—
2015C2×C4#58512yes—
2016C22—24no—
2017C22—24no—
2018C22—24no—
2019C22—24no—
2020C22—24no—
2021C22—24no—
2022C22—24no—
2023C22—22no—
2024C22—416no—
2025C22—41no—
2026C22—41no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—41no—
2032C22—42no—
2033C22—42no—
2034C22—41no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—41no—
2040C22#355918yes—
2041C22C22×H(5,𝔽2)11yescharacteristic
2042C22C22×2−1+412yes—
2043C22C2×#58512yes—
2044C22C2×#58511yescharacteristic
2045C22H(7,𝔽2)11yescharacteristic
2046C4—22no—
2047C4—24no—
2048C4—24no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—41no—
2061C4—42no—
2062C4—41no—
2063C4—41no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—41no—
2076C4—42no—
2077C2—28no—
2078C2—42no—
2079C2—81no—
2080C2—82no—
2081C2C2×#355912yes—
2082C2#6283711yescharacteristic
2083C2#6290312yes—
2084C2#6290511yescharacteristic
2085C2#6302611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36607C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59198C2semidirect
2. #59198C2semidirect
3. #55792C2semidirect
4. #55768C2semidirect
5. #53890C2semidirect
6. #53785C2semidirect
7. #53752C2semidirect
8. #53642C2semidirect
9. #53464C2semidirect
10. #52800C2semidirect
11. #52528C2semidirect
12. #50750C2semidirect
13. #50719C2semidirect
14. #50662C2semidirect
15. #46041C2semidirect
16. #45581C2semidirect
17. #44462C2semidirect
18. #43127C2semidirect
19. #42159C2semidirect
20. #41395C2semidirect
21. #40890C2semidirect
22. #40621C2semidirect
23. #39279C2semidirect
24. #38401C2semidirect
25. #38175C2semidirect
26. #37877C2semidirect
27. #37861C2semidirect
28. #37861C2semidirect
29. #37486C2semidirect
30. #37000C2semidirect
31. #36752C2semidirect
33. #36183C2semidirect
34. #34999C2semidirect
35. C2×#2569C2semidirect
48. #2843C22semidirect
49. #2841C22semidirect
50. #2839C22semidirect
51. #2839C22semidirect
52. #2839C22semidirect
53. #2838C22semidirect
54. #2836C22semidirect
55. #2836C22semidirect
56. #2836C22semidirect
59. #2833C22semidirect
60. #2832C22semidirect
61. #2831C22semidirect
62. #2831C22semidirect
64. #2827C22semidirect
65. #2817C22semidirect
66. #2810C22semidirect
67. #2807C22semidirect
68. #2805C22semidirect
69. #2805C22semidirect
70. #2802C22semidirect
71. #2802C22semidirect
72. #2802C22semidirect
73. #2802C22semidirect
74. #2800C22semidirect
75. #2798C22semidirect
76. #2797C22semidirect
77. #2793C22semidirect
78. #2793C22semidirect
79. #2793C22semidirect
80. #2792C22semidirect
81. #2792C22semidirect
82. #2792C22semidirect
83. #2791C22semidirect
84. #2791C22semidirect
85. #2791C22semidirect
86. #2791C22semidirect
87. #2791C22semidirect
88. #2791C22semidirect
89. #2791C22semidirect
90. #2791C22semidirect
91. #2791C22semidirect
92. #2791C22semidirect
93. #2790C22semidirect
94. #2790C22semidirect
95. #2789C22semidirect
96. #2788C22semidirect
97. #2787C22semidirect
98. #2786C22semidirect
99. #2786C22semidirect
100. #2786C22semidirect
101. #2783C22semidirect
102. #2783C22semidirect
103. #2777C22semidirect
104. #2777C22semidirect
105. #2776C22semidirect
106. #2776C22semidirect
107. #2776C22semidirect
108. #2774C22semidirect
109. #2774C22semidirect
110. #2773C22semidirect
111. #2771C22semidirect
112. #2769C22semidirect
113. #2768C22semidirect
114. #2755C22semidirect
115. #2755C22semidirect
116. #2755C22semidirect
117. #2755C22semidirect
118. #2752C22semidirect
119. #2750C22semidirect
120. #2748C22semidirect
121. #2747C22semidirect
122. #2744C22semidirect
123. #2744C22semidirect
124. #2743C22semidirect
125. #2741C22semidirect
126. #2740C22semidirect
127. #2740C22semidirect
128. #2740C22semidirect
129. #2739C22semidirect
130. #2739C22semidirect
131. #2738C22semidirect
132. #2734C22semidirect
133. #2734C22semidirect
134. #2729C22semidirect
135. #2728C22semidirect
143. #2721C22semidirect
144. #2720C22semidirect
153. #2713C22semidirect
154. #2713C22semidirect
159. #2692C22semidirect
160. #2690C22semidirect
161. #2689C22semidirect
162. #2677C22semidirect
167. #2667C22semidirect
168. #2667C22semidirect
169. #2666C22semidirect
170. #2660C22semidirect
173. #2655C22semidirect
174. #2654C22semidirect
175. #2654C22semidirect
176. #2654C22semidirect
181. #2652C22semidirect
182. #2652C22semidirect
189. #2627C22semidirect
193. #2606C22semidirect
194. #2606C22semidirect
195. #2600C22semidirect
196. #2594C22semidirect
197. #2594C22semidirect
198. #2590C22semidirect
199. #2590C22semidirect
200. #2590C22semidirect
201. #2590C22semidirect
202. #2588C22semidirect
203. #2588C22semidirect
204. #2586C22semidirect
205. #2586C22semidirect
206. #2585C22semidirect
207. #2585C22semidirect
208. #2579C22semidirect
209. #2577C22semidirect
210. #2573C22semidirect
238. #2522C22semidirect
239. #2522C22semidirect
240. #2522C22semidirect
248. #2502C22semidirect
276. #2481C22semidirect
280. #2466C22semidirect
288. #2449C22semidirect
296. #2440C22semidirect
336. #2381C22semidirect
337. #2378C22semidirect
338. #2378C22semidirect
353. #2336C22semidirect
354. #2332C22semidirect
363. #2313C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#591982
#557922
#557682
#538902
#537852
#537522
#536422
#534642
#528002
#525282
#507502
#507192
#506622
#460412
#455812
#444622
#431272
#421592
#413952
#408902
#406212
#392792
#384012
#381752
#378772
#378612
#374862
#370002
#367522
#366072
#361832
#349992
C2×#25692